Each question is worth $5$ points.

Given the following precedence diagram representing a small project, answer the following questions. Note that the expected activity duration is Te$,$ and the standard deviation is s$.$ The unit of measurement for the duration and standard deviation unit is day.

What is the mean duration of Chain ABDF?

Multiple choice $1$ Question $6$

None of these answers are correct

$21$

$23$

$17$

$27$

What is the standard deviation of Chain ABDF?

Multiple choice $2$ Question $6$

None of these answers are correct

$8\mathrm{.}00$

$3\mathrm{.}60$

$4\mathrm{.}24$

$7\mathrm{.}16$

What is the probability that Chain ABDF can be finished in less than $35$ days? $($Choose the closest answer.$)$

Multiple choice $3$ Question $6$

$0\mathrm{.}7088$

$0\mathrm{.}8264$

$0\mathrm{.}6950$

$0\mathrm{.}9706$

None of these answers are correct

What is the mean duration of Chain ACEF?

Multiple choice $4$ Question $6$

$25$

None of these answers are correct

$41$

$31$

$45$

What is the standard deviation of Chain ACEF?

Multiple choice $5$ Question $6$

$7\mathrm{.}00$

None of these answers are correct

$8\mathrm{.}00$

$4\mathrm{.}24$

$3\mathrm{.}45$

What is the probability that Chain ACEF can be finished in less than $35$ days? $($Choose the closest answer.$)$

Multiple choice $6$ Question $6$

None of these answers are correct

$0\mathrm{.}7054$

$1\mathrm{.}000$

$0\mathrm{.}8264$

$0\mathrm{.}5428$

What is the probability that the entire project can be finished in less than $35$ days? $($Choose the closest answer.$)$

Multiple choice $7$ Question $6$

$0\mathrm{.}8021$

$0\mathrm{.}9706$

$0\mathrm{.}86264$

$1\mathrm{.}797$

None of these answers are correct

To finish the entire project in less than $35$ days, which chain is the critical path?

Multiple choice $8$ Question $6$

ACEF

None of these answers are correct

ABDF

Both ABDF and ACEF

Neither ABDF nor ACEF